Problem preview
S-IC.4 Warmup M3-050-A04-V01

Use sample data to estimate population means/proportions and develop margins of error using simulation.

Use a sample mean and margin of error to write an interval estimate for a population mean

Problem

What interval does this margin of error suggest for the population mean: sample mean \(72~\text{inches}\), margin \(2~\text{inches}\)?

Big Picture

What this problem is really about

A mean interval is centered at the sample mean and extends one margin of error below and above it. Compute both endpoints with subtraction and addition rather than using only one side. Because the interval estimates a population mean of the same measured variable, preserve the original units on both endpoints and in the interpretation.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
S-IC.4
Category
Statistics and Probability
Domain
Making Inferences and Justifying Conclusions
Objective
Use sample data to estimate population means/proportions and develop margins of error using simulation.
Problem type
Use a sample mean and margin of error to write an interval estimate for a population mean